Using Aleksandrov reflection to estimate the location of the center of expansion
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- by Yu-Chu Lin and Dong-Ho Tsai PDF
- Proc. Amer. Math. Soc. 138 (2010), 557-565 Request permission
Abstract:
We use the Aleksandrov reflection result of Chow and Gulliver to show that the center of expansion in expanding a given convex embedded closed curve $\gamma _{0}\subset \mathbb {R}^{2}$ lies on a certain convex plane region interior to $\gamma _{0}.$References
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Additional Information
- Yu-Chu Lin
- Affiliation: Department of Mathematics, National Tsing Hua University, Hsinchu 30013, Taiwan
- MR Author ID: 843221
- Email: yclin@math.nthu.edu.tw
- Dong-Ho Tsai
- Affiliation: Department of Mathematics, National Tsing Hua University, Hsinchu 30013, Taiwan
- Email: dhtsai@math.nthu.edu.tw
- Received by editor(s): August 4, 2008
- Published electronically: September 30, 2009
- Additional Notes: The research of the second author was supported by NSC (grant number 95-2115-M-007-009) and the research center NCTS of Taiwan.
- Communicated by: Chuu-Lian Terng
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 557-565
- MSC (2000): Primary 35K15, 35K55
- DOI: https://doi.org/10.1090/S0002-9939-09-10155-7
- MathSciNet review: 2557173